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Finding the Fourth Proportional to 1,469.72, 2,038.34 and 1,346.72

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Solution

The fourth proportional to 1,469.72, 2,038.34 and 1,346.72 is: 1,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.72 : 2,038.34 = 1,346.72 : x
  2. Step 2: Convert to fraction form
    1,469.72/2,038.34 = 1,346.72/x
  3. Step 3: Cross multiply
    1,469.72x = 2,038.34 × 1,346.72
  4. Step 4: Simplify right side
    1,469.72x = 2,745,073.24
  5. Step 5: Solve for x
    x = 2,745,073.24/1,469.72
  6. Step 6: Final answer
    x = 1,867.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.